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Finding the Third Proportional to 717,991,074 and 1,572,184,680

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Solution

The third proportional to 717,991,074 and 1,572,184,680 is: 3,442,611,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,991,074 : 1,572,184,680 = 1,572,184,680 : x
  2. Step 2: Convert to fraction form
    717,991,074/1,572,184,680 = 1,572,184,680/x
  3. Step 3: Cross multiply
    717,991,074x = 1,572,184,680 × 1,572,184,680
  4. Step 4: Simplify right side
    717,991,074x = 2,471,764,668,026,702,336
  5. Step 5: Solve for x
    x = 2,471,764,668,026,702,336/717,991,074
  6. Step 6: Final answer
    x = 3,442,611,973.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.